A statistical description of turbulent diffusion flame holes

C. Pantano; D. I. Pullin

doi:10.1016/j.combustflame.2004.02.001

A statistical description of turbulent diffusion flame holes

C. Pantano, D. I. Pullin

Mechanical Science and Engineering

Research output: Contribution to journal › Article › peer-review

Abstract

A statistical approach to the dynamics of diffusion-flame holes is presented. The dynamics of the holes are assumed to be controlled by the edge-flame velocity that is determined by the mixture fraction rate of dissipation, a random variable in a turbulent flow. The formulation is then specialized to the case of small circular holes and a stochastic model is used to investigate the dynamics of the joint probability density function of flame-hole radius and scalar dissipation. The associated Fokker-Planck transport equation for the joint pdf is solved and the hole area evolution with time is computed. Furthermore, the one-dimensional marginal probability density function transport equation for the hole radius is derived and the conditional edge-flame velocity is studied for both expanding and collapsing holes.

Original language	English (US)
Pages (from-to)	295-305
Number of pages	11
Journal	Combustion and Flame
Volume	137
Issue number	3
DOIs	https://doi.org/10.1016/j.combustflame.2004.02.001
State	Published - May 2004

Keywords

Diffusion flame
Flame hole
Stochastic model
Turbulent combustion

ASJC Scopus subject areas

Chemistry(all)
Chemical Engineering(all)
Fuel Technology
Energy Engineering and Power Technology
Physics and Astronomy(all)

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title = "A statistical description of turbulent diffusion flame holes",

abstract = "A statistical approach to the dynamics of diffusion-flame holes is presented. The dynamics of the holes are assumed to be controlled by the edge-flame velocity that is determined by the mixture fraction rate of dissipation, a random variable in a turbulent flow. The formulation is then specialized to the case of small circular holes and a stochastic model is used to investigate the dynamics of the joint probability density function of flame-hole radius and scalar dissipation. The associated Fokker-Planck transport equation for the joint pdf is solved and the hole area evolution with time is computed. Furthermore, the one-dimensional marginal probability density function transport equation for the hole radius is derived and the conditional edge-flame velocity is studied for both expanding and collapsing holes.",

keywords = "Diffusion flame, Flame hole, Stochastic model, Turbulent combustion",

author = "C. Pantano and Pullin, {D. I.}",

note = "Funding Information: This work was supported by the ASC program of the Department of Energy under Subcontract B341492 of DOE Contract W-7405-ENG-48.",

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doi = "10.1016/j.combustflame.2004.02.001",

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AU - Pullin, D. I.

N1 - Funding Information: This work was supported by the ASC program of the Department of Energy under Subcontract B341492 of DOE Contract W-7405-ENG-48.

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N2 - A statistical approach to the dynamics of diffusion-flame holes is presented. The dynamics of the holes are assumed to be controlled by the edge-flame velocity that is determined by the mixture fraction rate of dissipation, a random variable in a turbulent flow. The formulation is then specialized to the case of small circular holes and a stochastic model is used to investigate the dynamics of the joint probability density function of flame-hole radius and scalar dissipation. The associated Fokker-Planck transport equation for the joint pdf is solved and the hole area evolution with time is computed. Furthermore, the one-dimensional marginal probability density function transport equation for the hole radius is derived and the conditional edge-flame velocity is studied for both expanding and collapsing holes.

AB - A statistical approach to the dynamics of diffusion-flame holes is presented. The dynamics of the holes are assumed to be controlled by the edge-flame velocity that is determined by the mixture fraction rate of dissipation, a random variable in a turbulent flow. The formulation is then specialized to the case of small circular holes and a stochastic model is used to investigate the dynamics of the joint probability density function of flame-hole radius and scalar dissipation. The associated Fokker-Planck transport equation for the joint pdf is solved and the hole area evolution with time is computed. Furthermore, the one-dimensional marginal probability density function transport equation for the hole radius is derived and the conditional edge-flame velocity is studied for both expanding and collapsing holes.

KW - Diffusion flame

KW - Flame hole

KW - Stochastic model

KW - Turbulent combustion

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A statistical description of turbulent diffusion flame holes

Abstract

Keywords

ASJC Scopus subject areas

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